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Exercise

$\frac{\log_{\frac{1}{2}}\left(2x\right)}{\log_{\frac{1}{2}}\left(2\right)}$

Step-by-step Solution

1

Apply the change of base formula for logarithms: $\log_b(a)=\frac{\log_x(a)}{\log_x(b)}$

$\log_{2}\left(2x\right)$

Final answer to the exercise

$\log_{2}\left(2x\right)$

Try other ways to solve this exercise

  • Choose an option
  • Solve for x
  • Condense the logarithm
  • Expand the logarithm
  • Simplify
  • Find the integral
  • Find the derivative
  • Write as single logarithm
  • Integrate by partial fractions
  • Product of Binomials with Common Term
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Similar Questions Solved

$\log\left(4\right)64$

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$2\ln\left(3x\right)$

$\log\left(\frac{1}{2}\right)\cdot 32$

Main Topic: Condensing Logarithms

Combining or condensing logarithms consists of rewriting a mathematical expression with several logarithms into a single logarithm, by applying the properties of logarithms.

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